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  • If f ' is the derivative of f, then the derivative of the...
Multiple choice general knowledge math & puzzles

If f ' is the derivative of f, then the derivative of the inverse of f is the inverse of f '.

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The derivative of the inverse function f^(-1) is 1/f'(f^(-1)(x)), not (f')^(-1). For example, if f(x) = x^3, then f'(x) = 3x^2, but the derivative of f^(-1) is 1/(3x^(2/3)), which is not the inverse of 3x^2.

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